**Problem Description:**A long, straight wire lies on a horizontal table in the xy-plane and carries a current of 1.40 μA in the positive x-direction along the x-axis. A proton is traveling in the negative x-direction at speed \(2.60 \times 10^4 \, \text{m/s}\) a distance \(d\) above the wire (i.e., \(z = d\)).---**Questions:**1. **(a) Direction of the Magnetic Field:** - What is the direction of the magnetic field of the wire at the position of the proton? - **Options:** - Into the page - Out of the page - Left - Right - Up - Down2. **(b) Direction of the Magnetic Force:** - What is the direction of the magnetic force acting on the proton? - **Options:** - Into the page - Out of the page - Left - Right - Up - Down3. **(c) Explanation for Proton's Motion:** - Explain why the direction of the proton's motion doesn't change. - **Text Box for Answer:**---**Calculation Section:**4. **(d) Symbolic Expression for Distance \(d\):** - Using Newton's second law, find a symbolic expression for \(d\) in terms of: - Acceleration of gravity \(g\), - Proton mass \(m\), - Proton speed \(v\), - Charge \(q\), - Current \(I\), - Permittivity of free space \(\mu_0\), - \(\pi\). - Do not substitute numerical values; use variables only. - **Expression:** - \(d = \) [Text Box for Answer]5. **(e) Numeric Value for Distance \(d\):** - Find the numeric answer for the distance \(d\) using the results of part (d). - **Answer:** - [Text Box for Answer in cm]---**Note:** Each question helps in understanding the physical concepts of electromagnetism, specifically the magnetic fields and forces on charged particles such as protons due to currents in wires.

Answered: A long, straight wire lies on a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Problem Description:**

A long, straight wire lies on a horizontal table in the xy-plane and carries a current of 1.40 μA in the positive x-direction along the x-axis. A proton is traveling in the negative x-direction at speed \(2.60 \times 10^4 \, \text{m/s}\) a distance \(d\) above the wire (i.e., \(z = d\)).

---

**Questions:**

1. **(a) Direction of the Magnetic Field:**
- What is the direction of the magnetic field of the wire at the position of the proton?
- **Options:**
- Into the page
- Out of the page
- Left
- Right
- Up
- Down

2. **(b) Direction of the Magnetic Force:**
- What is the direction of the magnetic force acting on the proton?
- **Options:**
- Into the page
- Out of the page
- Left
- Right
- Up
- Down

3. **(c) Explanation for Proton's Motion:**
- Explain why the direction of the proton's motion doesn't change.
- **Text Box for Answer:**

---

**Calculation Section:**

4. **(d) Symbolic Expression for Distance \(d\):**
- Using Newton's second law, find a symbolic expression for \(d\) in terms of:
- Acceleration of gravity \(g\),
- Proton mass \(m\),
- Proton speed \(v\),
- Charge \(q\),
- Current \(I\),
- Permittivity of free space \(\mu_0\),
- \(\pi\).
- Do not substitute numerical values; use variables only.
- **Expression:**
- \(d = \) [Text Box for Answer]

5. **(e) Numeric Value for Distance \(d\):**
- Find the numeric answer for the distance \(d\) using the results of part (d).
- **Answer:**
- [Text Box for Answer in cm]

---

**Note:** Each question helps in understanding the physical concepts of electromagnetism, specifically the magnetic fields and forces on charged particles such as protons due to currents in wires.

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According to the right hand rule , while stretching the thumb, pointing finger and middle finger in perpendicular directions, the thumb will represent the direction of magnetic force, the pointing finger will represent the direction of current flow and the middle finger will represent the direction of magnetic field .

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